List questions from abelian-groups

Published on 03 Feb 2020 - 20:45

103

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Galois cohomology of free abelian groups

Published on 04 Feb 2020 - 22:08

185

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Finding an Explicit Basis for a Free Abelian Group

Published on 26 Mar 2026 - 8:14

141

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Abelian groups and automorphisms

Published on 29 Mar 2026 - 10:26

213

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On abelian subgroup of $GL_{n}(\mathbb{F}_{p})$.

Published on 08 Feb 2020 - 23:50

193

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Partial order on Grothendieck group of an abelian category

Published on 11 Feb 2020 - 19:23

178

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Let $(G,\cdot)$ be a finite abelian group and $m\in\Bbb{N}$. Prove that $S=\{g\in G\mid(o(g),m)=1\}\le G$.

Published on 13 Feb 2020 - 18:31

47

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Proving a question on abelian groups

Published on 16 Feb 2020 - 4:33

86

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Let $(G, ∗)$ be a finite abelian group and $G=\{a_1,a_2,...,a_n\}$. Let $a_1∗a_2∗···∗a_n=x$. Show that $x∗x=e$, where $e$ is the identity of $(G, ∗)$.

Published on 16 Feb 2020 - 17:02

207

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Given surjective Homomorphism $f:A \to B$ then $A \cong \ker(f) × B$

Published on 26 Mar 2026 - 8:23

326

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Structure theorem of symplectic modules

Published on 23 Feb 2026 - 4:52

926

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Complex Lie groups

Published on 30 Mar 2026 - 4:11

253

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Abelian group of finite order

Published on 23 Feb 2020 - 15:57

1.3k

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Show $\mathbb{Z}_n^∗$ is an abelian group where $\mathbb{Z}_n^*=\{1 \le a \le (n-1)\mid \gcd(a,n) = 1\}$.

Published on 29 Feb 2020 - 20:20

344

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Numbers of elements of each prime power order in a finite Abelian group?

Published on 02 Mar 2020 - 23:35

List Question

Homology is a functor into Groups or R-Modules

Galois cohomology of free abelian groups

Finding an Explicit Basis for a Free Abelian Group

Abelian groups and automorphisms

On abelian subgroup of $GL_{n}(\mathbb{F}_{p})$.

Partial order on Grothendieck group of an abelian category

Let $(G,\cdot)$ be a finite abelian group and $m\in\Bbb{N}$. Prove that $S=\{g\in G\mid(o(g),m)=1\}\le G$.

Proving a question on abelian groups

Let $(G, ∗)$ be a finite abelian group and $G=\{a_1,a_2,...,a_n\}$. Let $a_1∗a_2∗···∗a_n=x$. Show that $x∗x=e$, where $e$ is the identity of $(G, ∗)$.

Given surjective Homomorphism $f:A \to B$ then $A \cong \ker(f) × B$

Structure theorem of symplectic modules

Complex Lie groups

Abelian group of finite order

Show $\mathbb{Z}_n^∗$ is an abelian group where $\mathbb{Z}_n^*=\{1 \le a \le (n-1)\mid \gcd(a,n) = 1\}$.

Numbers of elements of each prime power order in a finite Abelian group?

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